One more vote for yes to the crazy question.
I totally get how that can be your gut reaction though. I have a whiny 9 year old (now) myself, and I thought many times that it would be so much easier for me to let her ride in a stroller at Disney until she's 12! But then I remembered that parenting isn't about making the choices that are easier on me...It's about making the best choices for my children. And allowing her to whine so much that it would negatively impact our vacation just because she wasn't going to be carted around like a princess...Well, that just wasn't OK with me and I needed to teach her that this wasn't OK.
So, early on in our Disney vacationing careers...I made a rule that there were no strollers allowed after age 5. Honestly they were so young when I made this rule that I knew it was mostly for ME, so that I wouldn't give in to the crutch and continue to use one past the time that it is truly not better for my child. The first trip after ds turned 6 and dd was still 5, we only had a single. DS was OK ALMOST the whole time because he knew the rule and that he wasn't allowed a stroller any longer. (we did have to have one discussion and rest time but that wasn't bad on a whole week long trip). The first trip after dd turned 6 yes she was a bit whiny (which was expected - I know my dd) - but as discussed she knew that if she wanted to enjoy the fun she had to do the work with her own legs to get there. It was ALWAYS and option for her to rest in a restaurant with one of the parents OR go back to the room for a rest. Only once the whole trip did she take us up on it - she wanted to go back to the room instead of watching Illuminations because she was so beat. A very smart decision on her part. After that first trip - it has been no problem. Has she gotten tired? YES! We ALL do. But she knows that a rest on a bench or going to see one of the shows to rest a bit are the only options she has.
Believe me - After you set your mind to it - you will see it will work out. I know how scary it is the first time with a whine-prone child. But setting expectations upfront and establishing rules (for example - if you IMPLY that if she whines that there's a possibility of getting a stroller - then whining will likely occur...If you imply that whining will bring about returnign to the room....then it might not).
Dinnertimes would also always be so much easier on ME if I ordered pizza every night...But that too isn't best for my dd so I don't take the easy road on that one either.
Best of luck with your decision and your trip.